Banach空间中L-Lipschitzian映射对的公共不动点逼近定理Some approximation theorems of common fixed points for pairs of L-Lipschitzian mappins in Banach spaces
蒋光洁;
摘要(Abstract)：
研究Banach空间中L-Lipschitzian映射对的公共不动点逼近问题.设E表示实Banach空间,K是E中的非空闭凸子集,T,S:K→K是L-Lipschitzian映射,{xn}是带平均误差项的迭代序列,我们给出了{xn}强收敛于T和S的一个公共不动点的充分必要条件,这一结果推广了Banach空间不动点逼近定理.
关键词(KeyWords)： Banach空间;L-Lipschitzian映射对;非扩张映射对;公共不动点
基金项目(Foundation): 江苏省高校自然科学基金(08KJD110016);; 苏州科技学院重点学科基金
作者(Authors): 蒋光洁;
参考文献(References)：
- [1]Chang S S,Cho Y J,Kim J K.Some results for uniformly L-Lipschitzian mappings in Banach Spaces[J].Appl.Math.lett.,2009,22:121-125.
- [2]Chang S S.On Chidume’s open questions and approximations solutions of multi-valued stongly accretivemappings equation in Banach spaces[J].Math.Anal.Appl.,1997,216:94-111.
- [3]Sun Z H.Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings[J].Math.Anal.Appl.,2003,286:352-358.
- [4]Guo W,Guo Q.Convergence theorems of fixed points for asymptotically hemi-pseudo contractivemappings[J].Appl.Math.Comput.,2009,215:16-21.
- [5]Fukhar-ud-din H,Khan S H.Convergence of iterates with errors of asymptotically Quasi-nonexpansivemappings and applications[J].Math.Anal.Appl.,2007,328:821-829.